Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement II: Acceleration due to earth's gravity is same at a height ' h ' and depths ' d ' from earth's surface, if h = d . In the light of above statements, choose the most appropriate answer from the options given below.

Step-by-step solution

The acceleration due to gravity at a height h above the earth's surface is given by g_h = g (1 + h R )⁻² . The acceleration due to gravity at a depth d below the earth's surface is given by g_d = g (1 - d R ) . From these expressions, it is clear that the value of g decreases as we go above or below the earth's surface. Hence, Statement I is correct. For h = d , g_h and g_d are not equal. For example, if h = d R , g_h g (1 - 2h R ) and g_d = g (1 - h R ) , which are not equal. Hence, Statement II is incorrect. Answ